The maximum value of the objective function is 31.787
<h3>How to maximize the function?</h3>
The given parameters are:
Objective function:
Max P = 4x + 5y + 21
Subject to:
y- x < 1
21x + 7y < 25
x>-2, y>-4
Rewrite the inequalities as equation
y - x = 1
21x + 7y = 25
Add x to both sides in y - x = 1
y = x + 1
Substitute y = x + 1 in 21x + 7y = 25
21x + 7x + 7 = 25
Evaluate the like terms
28x = 18
Divide both sides by 28
x = 0.643
Substitute x = 0.643 in y = x + 1
y = 0.643 + 1
y = 1.643
So, we have:
Max P = 4x + 5y + 21
This gives
P = 4 * 0.643 + 5* 1.643 + 21
Evaluate
P = 31.787
Hence, the maximum value of the objective function is 31.787
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Answer:
Not rigid motion
Step-by-step explanation:
The mapping rule is x,y --> x+3, 2y
It's not a translation , rotation, reflection, nor glide reflection.
Distance is not preserved
Answer:
1
Step-by-step explanation:
<IHG = 162
<IHK = 4x + 4
<KHG = 8x + 2
<IHG + <IHK + <KHG = 180° (sum of angles in a triangle is equal to 180°)
See attachment for better illustration of the triangle
162 + (4x + 4) + (8x + 2) = 180
162 + 4x + 4 + 8x + 2 = 180
168 + 12x = 180
Collect liketerms
12x = 180 - 168
12x = 12
x = 1
Answer:
Tom hit 13 red targets!
Step-by-step explanation:
Answer:
you have a 1/6 chance to get anything between l and Q
Step-by-step explanation:
The reason being that their is 6 and each have one so there is an equal chance for all of them,
